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How do you find the solutions of cos^1x - 3sinx + 2sin^2x = 0 in degrees?http://bamboodock.wacom.com/doodler/6f06a9ee-6b26-435d-9685-2e62bcaa13b5 http://bamboodock.wacom.com/doodler/5ebb5618-f075-482f-88ac-3645f2ed822d
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i mean cos^2x - 3sinx + 2sin^2x = 0
i think u did it wrong
This will become: \[\sin^2(x) - 3\sin(x) + 1 = 0\]
sin(x) (2 sin(x)-3)+cos(x) = 0
-3 sin(x)+cos(x)-cos(2 x) = -1
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@waterineyes is doing right
-3 sin(x)+cos(x)-cos(2 x)+1 = 0
now u can do it easily
ans 2 sin^2(x)-3 sin(x)+cos(x) = 0
\[\sin(x) = \frac{3 \pm \sqrt{5}}{2}\]
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wait so my first step is to convert cos^2 to sin right?
Yes using: \[\cos^2(x) = 1 - \sin^2(x)\]
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